Symmetry Detection of Rational Space Curves from their Curvature and Torsion
arXiv:1406.1451 · doi:10.1016/j.cagd.2015.01.003
Abstract
We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, namely the curvature and torsion, the method is significantly faster, simpler, and more general than an earlier method addressing a similar problem. To support this claim, we present an analysis of the arithmetic complexity of the algorithm and timings from an implementation in Sage.
25 pages